Question

Which of the following is true regarding discrete variables ?
A. A discrete variable has an infinite number of possible variables
B. Discrete variable can take both whole number values as well as fraction values
C. Both of the above
D. None of the above

Answer 1

In this question, we need to check which of the following given statements are true regarding discrete variables : a discrete variable is nothing but a variable whose value is obtained by counting. First let us know about discrete variables. Then we can check the given statements one by one to find which of them are true.

Complete answer:
Mathematically, a quantitative variable can be continuous or discrete. In other words, variables that can only take on a finite number of values are called discrete variables. Moreover, all the qualitative variables are discrete in nature .
Now we can check the given statements one by one to find which of them are true.
Our first statement is: A discrete variable has an infinite number of possible variables.
Statistically, a discrete variable can take only a certain number of values . It doesn’t have an infinite number of values since the values of discrete variables are counting.
Thus the given statement is false.
Now let us check the second statement.
Our second statement is that a discrete variable can take both whole number values as well as fraction values .
Statistically, discrete variables can take only whole number values.
Thus the second statement is also false.
Next, our third statement is both of the above.
Since our first and second statement is false, this option is also false.
Finally our fourth statement is none of the above.
Since our first and second statement is false, this option is correct.
Thus none of the above statements is true.
Final answer :
None of the above statements is true.
Option D) . None of the above is the correct answer.

Therefore, the correct option is D

Note: In order to solve these types of problems, we should have a strong grip over discrete variables. We must remember that the variables are the unspecified term of the equation, formula and theory. Also, it is basically a numeric unspecified number. Mathematically, variables may be continuous or discrete. We must always remember that the discrete variables are countable in a finite amount of time.